The Parisian club has now claimed the prestigious trophy on 14 separate occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders seemed to be coasting towards a comfortable triumph in the showdown between the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele found the scoring in the opening stages.
However, the southern French side fired twice in the closing moments to seize a surprise lead. Initially, Mason Greenwood scored from the penalty spot, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a remarkable turn of fortune, the Portuguese striker snatched a vital equaliser in the final moments to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping crucial kicks from Matt O'Riley and Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored with composure for Paris Saint-Germain to seal a 4-1 penalty win.
Now 14-time champions PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now won this trophy for the twelfth time in the past 13 seasons.
